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Finding the Third Proportional to 188,598 and 251,787

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Solution

The third proportional to 188,598 and 251,787 is: 336,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,598 : 251,787 = 251,787 : x
  2. Step 2: Convert to fraction form
    188,598/251,787 = 251,787/x
  3. Step 3: Cross multiply
    188,598x = 251,787 × 251,787
  4. Step 4: Simplify right side
    188,598x = 63,396,693,369
  5. Step 5: Solve for x
    x = 63,396,693,369/188,598
  6. Step 6: Final answer
    x = 336,147.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.